We mention that some central limit theorems of different nature on the intrinsic martingale (Biggins martingale) in branching random walks have been established by Grübel and Kabluchko [1]}, Iksanov and Kabluchko [2]}, and some large deviations type results for branching random walks have been discussed by [3]}, [4]}. For other aspects on branching random walks, see for example, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]} and references therein.
